First of all, let me tell you my LSD is a Peloquin. I must say, when it first happen, I am 100% the road had some sand/dust on the right side and the car pulled to the right (towards the dirt). time, the dirty side was probably on the left (the inside of the corner) and the car pulled towards the dirt again. My best guess is what Tony and Hurdy said :
1) LSD got tricked by a dirty zone on the track
2) Steering wheel sensor faulty wich made the ESP kick in when it shouldn't
As for the cooland, I checked the hoses and they are all ok. My guess is the coolant got out as steam/vapors wich I saw when the car stoped and this could have been because the very hot engine stopped suddenly (normally, when you drive a car to the limit, you stop and let the engine run for 1 minute or more too cool down but in this case the engine stopped instantly because it was into gear and the car stopped )!
Here's some drawings for better understanding of the dynamics >